A direct algorithm for pole assignment of time-invariant multi-input linear systems using state feedback

DOI10.1016/0005-1098(88)90075-1zbMath0652.93015OpenAlexW2035381422MaRDI QIDQ1107488

George S. Miminis, Christopher C. Paige

Publication date: 1988

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(88)90075-1

zbMATH Keywords

algorithmpole assignmentnumerical stabilityorthogonal transformationsmulti-input linear systemsbackward rounding error analysiscomputation of the state feedback matrix

Mathematics Subject Classification ID

Related Items (10)

Pole placement problem for singular systems ⋮ A numerically reliable solution for the squaring-down problem in system design ⋮ Singular systems, state feedback problem ⋮ An algorithm for the multi-input complex eigenvalue assignment problem. ⋮ Causal stabilization of forward models of discrete LTI processes under constraints on the set of elementary divisors of the characteristic matrix ⋮ Placing zeroes and the Kronecker canonical form ⋮ Numerical methods in control ⋮ A modified Schur method for robust pole assignment in state feedback control ⋮ Numerical algorithms with condition and accuracy estimates for linear systems design ⋮ An algorithm for the multiinput pole assignment problem

Uses Software

• Matlab

Cites Work

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• Deadbeat control: A special inverse eigenvalue problem
• The QR Transformation A Unitary Analogue to the LR Transformation--Part 1
• Robust and well-conditioned eigenstructure assignment via sylvester's equation
• Robust pole assignment in linear state feedback
• A Hessenberg-Schur method for the problem AX + XB= C
• The generalized eigenstructure problem in linear system theory
• Properties of numerical algorithms related to computing controllability
• A Schur method for pole assignment
• An algorithm for pole assignment of time invariant linear systems†
• On eigenstructure assignment in linear multivariable systems
• On some algorithms for the solution of the complete eigenvalue problem
• Modern Error Analysis
• Pole assignment, a new proof and algorithm

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